Search a number
-
+
122273125 = 5413101149
BaseRepresentation
bin1110100100110…
…11110101100101
322112002010012021
413102123311211
5222300220000
620044423141
73013206262
oct722336545
9275063167
10122273125
1163024677
1234b47ab1
131c441780
141234c269
15ab0411a
hex749bd65

122273125 has 40 divisors (see below), whose sum is σ = 167290200. Its totient is φ = 88800000.

The previous prime is 122273093. The next prime is 122273131. The reversal of 122273125 is 521372221.

It can be written as a sum of positive squares in 20 ways, for example, as 122257249 + 15876 = 11057^2 + 126^2 .

It is not a de Polignac number, because 122273125 - 25 = 122273093 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 122273125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 820551 + ... + 820699.

It is an arithmetic number, because the mean of its divisors is an integer number (4182255).

Almost surely, 2122273125 is an apocalyptic number.

It is an amenable number.

122273125 is a deficient number, since it is larger than the sum of its proper divisors (45017075).

122273125 is a wasteful number, since it uses less digits than its factorization.

122273125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 122273125 is about 11057.7178929470. The cubic root of 122273125 is about 496.3374029420.

It can be divided in two parts, 1222 and 73125, that added together give a palindrome (74347).

The spelling of 122273125 in words is "one hundred twenty-two million, two hundred seventy-three thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 101 125 149 325 505 625 745 1313 1625 1937 2525 3725 6565 8125 9685 12625 15049 18625 32825 48425 63125 75245 93125 164125 195637 242125 376225 820625 978185 1210625 1881125 4890925 9405625 24454625 122273125